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34324121141041 = 1727710433698653
BaseRepresentation
bin1111100110111101101010…
…00011000011111100110001
311111112100120000111102010111
413303132311003003330301
513444331300003003131
6201000141130101321
710141556501551234
oct763366503037461
9144470500442114
1034324121141041
11aa33861613226
123a242b287a841
13161c99b498cb4
1486942119d41b
153e7cb0db2ab1
hex1f37b50c3f31

34324121141041 has 16 divisors (see below), whose sum is σ = 36477938203344. Its totient is φ = 32185299124224.

The previous prime is 34324121141021. The next prime is 34324121141081. The reversal of 34324121141041 is 14014112142343.

It can be written as a sum of positive squares in 8 ways, for example, as 71147560225 + 34252973580816 = 266735^2 + 5852604^2 .

It is a cyclic number.

It is not a de Polignac number, because 34324121141041 - 213 = 34324121132849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34324121140994 and 34324121141012.

It is not an unprimeable number, because it can be changed into a prime (34324121141021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48779671 + ... + 49478323.

It is an arithmetic number, because the mean of its divisors is an integer number (2279871137709).

Almost surely, 234324121141041 is an apocalyptic number.

It is an amenable number.

34324121141041 is a deficient number, since it is larger than the sum of its proper divisors (2153817062303).

34324121141041 is a wasteful number, since it uses less digits than its factorization.

34324121141041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709380.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 34324121141041 its reverse (14014112142343), we get a palindrome (48338233283384).

The spelling of 34324121141041 in words is "thirty-four trillion, three hundred twenty-four billion, one hundred twenty-one million, one hundred forty-one thousand, forty-one".

Divisors: 1 17 277 4709 10433 177361 698653 2889941 11877101 49128997 193526881 3289956977 7289046749 123913794733 2019065949473 34324121141041